Properties

Label 139650.bb
Number of curves $1$
Conductor $139650$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 139650.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.bb1 139650ja1 \([1, 1, 0, -30650, -2482500]\) \(-1732323601/430920\) \(-792145423125000\) \([]\) \(663552\) \(1.5768\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 139650.bb do not have complex multiplication.

Modular form 139650.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{11} - q^{12} + q^{13} + q^{16} - q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display